What is the 1965th prime number?
The 1965th prime number is 17033. The next prime is 17041 (a gap of 8) and the one before is 17029.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 1965th one is 17033.
- 2
17033 is prime because no prime up to ā17033 ā 130.51 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 1965th prime is close to 1965 Ć ln(1965) ā 14901, and here it is 17033.
- 4
17033 has no twin: neither 17031 nor 17035 is prime.
Primes around the 1965th
| Position | Prime | Gap from the previous |
|---|---|---|
| 1962 | 17021 | 10 |
| 1963 | 17027 | 6 |
| 1964 | 17029 | 2 |
| 1965 | 17033 | 4 |
| 1966 | 17041 | 8 |
| 1967 | 17047 | 6 |
| 1968 | 17053 | 6 |
Questions
What is the 1965th prime number?
17033.
Which prime number is 17033?
17033 is the 1965th prime number.
What is the sum of the first 1965 primes?
15,671,730.